Dynamic analysis and multiple solutions for a (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid

被引：1

作者：

Shao, Hangbing ^{[1
]}

Bilige, Sudao ^{[1
,2
]}

机构：

[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China

[2] Inner Mongolia Key Lab Stat Anal Theory Life Data, Hohhot 010051, Peoples R China

来源：

NONLINEAR DYNAMICS | 2024年 / 112卷 / 21期

关键词：

Rogue wave solutions; Localized wave solutions; Superposition formulas; Dynamic analysis; PERIODIC-WAVE SOLUTIONS; STRIPE SOLITONS; NONLINEAR-WAVE; LUMP SOLUTIONS; LIQUID;

D O I：

10.1007/s11071-024-10044-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The localized wave solutions, the rogue wave solutions and interaction solutions of a (3+1)-dimensional generalized Kadomtsev-Petviashvili (GKP) equation were derived. These solutions corresponded to a total of eight sets of parameter relations. The test functions for the rogue wave solutions and the localized solutions were formed by the superposition of positive quadratic functions. Furthermore, the vector tool was specifically introduced in order to obtain the parameter relations in relation to solution functions expressed as superposition formulas. Dynamic analysis were performed on each type of solutions. The properties of all waves were exhibited through concrete examples and graphics.

引用

页码：19337 / 19352

页数：16

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